Three isometrically equivalent models of the Finsler-Poincaré disk

Abstract

We present the isometry between the 2-dimensional Funk model and the Finsler-Poincaré disk. Then, we introduce the Finslerian Poincaré upper half plane model, which turns out to be also isometrically equivalent to the previous models. As application, we state the gapless character of the first eigenvalue for the aforementioned three spaces.

IEEE 15th International Symposium on Applied Computational Intelligence and Informatics, Timisoara, Romania

References in corpus (2)

• The geometry of sound rays in a wind
• Mathematical modeling the wildfire propagation in a Randers space